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Finding the Fourth Proportional to 20,928.36, 28,881.80 and 11,497.12

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Solution

The fourth proportional to 20,928.36, 28,881.80 and 11,497.12 is: 15,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,928.36 : 28,881.80 = 11,497.12 : x
  2. Step 2: Convert to fraction form
    20,928.36/28,881.80 = 11,497.12/x
  3. Step 3: Cross multiply
    20,928.36x = 28,881.80 × 11,497.12
  4. Step 4: Simplify right side
    20,928.36x = 332,057,520.42
  5. Step 5: Solve for x
    x = 332,057,520.42/20,928.36
  6. Step 6: Final answer
    x = 15,866.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.